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131133011921 is a prime number
BaseRepresentation
bin111101000100000100…
…0101111011111010001
3110112110212220012210022
41322020020233133101
54122030022340141
6140124111313225
712321412132052
oct1721010573721
9415425805708
10131133011921
115068219181a
12214b821b815
13c49a8433a2
1464bdb5c729
15362756ab4b
hex1e8822f7d1

131133011921 has 2 divisors, whose sum is σ = 131133011922. Its totient is φ = 131133011920.

The previous prime is 131133011881. The next prime is 131133012041. The reversal of 131133011921 is 129110331131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86341945600 + 44791066321 = 293840^2 + 211639^2 .

It is a cyclic number.

It is not a de Polignac number, because 131133011921 - 218 = 131132749777 is a prime.

It is a super-2 number, since 2×1311330119212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131133014921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65566505960 + 65566505961.

It is an arithmetic number, because the mean of its divisors is an integer number (65566505961).

Almost surely, 2131133011921 is an apocalyptic number.

It is an amenable number.

131133011921 is a deficient number, since it is larger than the sum of its proper divisors (1).

131133011921 is an equidigital number, since it uses as much as digits as its factorization.

131133011921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 131133011921 in words is "one hundred thirty-one billion, one hundred thirty-three million, eleven thousand, nine hundred twenty-one".