101133111332331 has 24 divisors (see below), whose sum is σ = 157376288997200. Its totient is φ = 62212769948736.

The previous prime is 101133111332329. The next prime is 101133111332353. The reversal of 101133111332331 is 133233111331101.

101133111332331 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 311 + 13 + 3 + 2 + 331 = 666.

It is not a de Polignac number, because 101133111332331 - 2¹ = 101133111332329 is a prime.

It is a super-2 number, since 2×101133111332331² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101133111332295 and 101133111332304.

It is not an unprimeable number, because it can be changed into a prime (101133111332431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159340756 + ... + 159974193.

Almost surely, 2^{101133111332331} is an apocalyptic number.

101133111332331 is a deficient number, since it is larger than the sum of its proper divisors (56243177664869).

101133111332331 is a wasteful number, since it uses less digits than its factorization.

101133111332331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319317675 (or 319317672 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 101133111332331 its reverse (133233111331101), we get a palindrome (234366222663432).

The spelling of 101133111332331 in words is "one hundred one trillion, one hundred thirty-three billion, one hundred eleven million, three hundred thirty-two thousand, three hundred thirty-one".