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131002121213133 = 32331347556331727
BaseRepresentation
bin11101110010010101001110…
…111001100101010011001101
3122011211200101001212111122020
4131302111032321211103031
5114132314321012310013
61142341313233240353
736410406454365402
oct3562251671452315
9564750331774566
10131002121213133
113881776222aa25
12128391094030b9
1358135a7158211
14244c7722142a9
1510229ec167623
hex77254ee654cd

131002121213133 has 64 divisors (see below), whose sum is σ = 188725364785152. Its totient is φ = 80592816680640.

The previous prime is 131002121213101. The next prime is 131002121213143. The reversal of 131002121213133 is 331312121200131.

It is not a de Polignac number, because 131002121213133 - 25 = 131002121213101 is a prime.

It is a super-2 number, since 2×1310021212131332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002121213143) 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, 4129026316 + ... + 4129058042.

It is an arithmetic number, because the mean of its divisors is an integer number (2948833824768).

Almost surely, 2131002121213133 is an apocalyptic number.

It is an amenable number.

131002121213133 is a deficient number, since it is larger than the sum of its proper divisors (57723243572019).

131002121213133 is a wasteful number, since it uses less digits than its factorization.

131002121213133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37694.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131002121213133 its reverse (331312121200131), we get a palindrome (462314242413264).

The spelling of 131002121213133 in words is "one hundred thirty-one trillion, two billion, one hundred twenty-one million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 23 31 69 93 347 713 1041 2139 5563 7981 10757 16689 23943 31727 32271 95181 127949 172453 247411 383847 517359 729721 742233 983537 1930361 2189163 2950611 3966419 5791083 11009269 11899257 22621351 33027807 44398303 59841191 67864053 133194909 176497301 179523573 253213187 341287339 529491903 759639561 1023862017 1376347393 4059437923 4129042179 5471416331 7849608797 12178313769 16414248993 23548826391 61244563447 125842575613 183733690341 377527726839 1408624959281 1898581466857 4225874877843 5695744400571 43667373737711 131002121213133