11627557101131 has 2 divisors, whose sum is σ = 11627557101132. Its totient is φ = 11627557101130.

The previous prime is 11627557101107. The next prime is 11627557101179. The reversal of 11627557101131 is 13110175572611.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 11627557101131 - 2⁶ = 11627557101067 is a prime.

It is a super-2 number, since 2×11627557101131² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11627557101031) 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, 5813778550565 + 5813778550566.

It is an arithmetic number, because the mean of its divisors is an integer number (5813778550566).

Almost surely, 2^{11627557101131} is an apocalyptic number.

11627557101131 is a deficient number, since it is larger than the sum of its proper divisors (1).

11627557101131 is an equidigital number, since it uses as much as digits as its factorization.

11627557101131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 41.

The spelling of 11627557101131 in words is "eleven trillion, six hundred twenty-seven billion, five hundred fifty-seven million, one hundred one thousand, one hundred thirty-one".