101531251532133 has 24 divisors (see below), whose sum is σ = 146733948410400. Its totient is φ = 67651647132960.

The previous prime is 101531251532119. The next prime is 101531251532153. The reversal of 101531251532133 is 331235152135101.

101531251532133 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 3 + 1 + 2 + 515 + 3 + 2 + 133 = 666.

It is not a de Polignac number, because 101531251532133 - 2⁵ = 101531251532101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101531251532153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211809298 + ... + 212288108.

It is an arithmetic number, because the mean of its divisors is an integer number (6113914517100).

Almost surely, 2^{101531251532133} is an apocalyptic number.

It is an amenable number.

101531251532133 is a deficient number, since it is larger than the sum of its proper divisors (45202696878267).

101531251532133 is a wasteful number, since it uses less digits than its factorization.

101531251532133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491249 (or 491246 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 101531251532133 in words is "one hundred one trillion, five hundred thirty-one billion, two hundred fifty-one million, five hundred thirty-two thousand, one hundred thirty-three".