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131001301221303 = 31979113257451377
BaseRepresentation
bin11101110010010100011110…
…000001100011111110110111
3122011211121020220220121022110
4131302110132001203332313
5114132311131103040203
61142341100022102103
736410350236515562
oct3562243601437667
9564747226817273
10131001301221303
1138817381384a27
1212838b1a87a933
1358134a62c5856
14244c6d53634d9
1510229a0191d03
hex77251e063fb7

131001301221303 has 32 divisors (see below), whose sum is σ = 187836525388800. Its totient is φ = 80967427946496.

The previous prime is 131001301221251. The next prime is 131001301221347. The reversal of 131001301221303 is 303122103100131.

It is a happy number.

It is not a de Polignac number, because 131001301221303 - 242 = 126603254710199 is a prime.

It is a super-2 number, since 2×1310013012213032 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131001301221303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001301221383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128216850 + ... + 129234527.

It is an arithmetic number, because the mean of its divisors is an integer number (5869891418400).

Almost surely, 2131001301221303 is an apocalyptic number.

131001301221303 is a deficient number, since it is larger than the sum of its proper divisors (56835224167497).

131001301221303 is a wasteful number, since it uses less digits than its factorization.

131001301221303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257451591.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131001301221303 its reverse (303122103100131), we get a palindrome (434123404321434).

The spelling of 131001301221303 in words is "one hundred thirty-one trillion, one billion, three hundred one million, two hundred twenty-one thousand, three hundred three".

Divisors: 1 3 19 57 79 113 237 339 1501 2147 4503 6441 8927 26781 169613 508839 257451377 772354131 4891576163 14674728489 20338658783 29092005601 61015976349 87276016803 386434516877 552748106419 1159303550631 1658244319257 2298268442479 6894805327437 43667100407101 131001301221303