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131303130203333 = 112341307313131731
BaseRepresentation
bin11101110110101101100100…
…011011110000010011000101
3122012220110022220101112201202
4131312231210123300103011
5114202232302313001313
61143131454132432245
736441223653524324
oct3566554433602305
9565813286345652
10131303130203333
1138923387a30520
1212887514778685
135835aa802103a
14245d1693640bb
15102a7681d1558
hex776b646f04c5

131303130203333 has 64 divisors (see below), whose sum is σ = 154103828465664. Its totient is φ = 110673433728000.

The previous prime is 131303130203293. The next prime is 131303130203353. The reversal of 131303130203333 is 333302031303131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-131303130203333 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131303130203296 and 131303130203305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303130203353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996686078 + ... + 996817808.

It is an arithmetic number, because the mean of its divisors is an integer number (2407872319776).

Almost surely, 2131303130203333 is an apocalyptic number.

It is an amenable number.

131303130203333 is a deficient number, since it is larger than the sum of its proper divisors (22800698262331).

131303130203333 is a wasteful number, since it uses less digits than its factorization.

131303130203333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132426.

The product of its (nonzero) digits is 13122, while the sum is 29.

Adding to 131303130203333 its reverse (333302031303131), we get a palindrome (464605161506464).

The spelling of 131303130203333 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred thirty million, two hundred three thousand, three hundred thirty-three".

Divisors: 1 11 23 41 253 307 313 451 943 3377 3443 7061 7199 10373 12587 12833 77671 79189 96091 131731 138457 141163 289501 295159 1057001 1449041 2210093 3029813 3184511 3246749 3939731 5400971 24311023 33327943 40441417 41231803 43337041 59410681 90613813 124222333 444855587 453549833 930152591 948331469 996751943 1366445663 1658098097 1690503923 10231678501 10431646159 12658163521 18239079067 18595543153 38136256231 38881590229 139239798731 291137760983 419498818541 427697492519 518984704361 3202515370813 5708831747971 11936648200303 131303130203333