31234400120133 has 64 divisors (see below), whose sum is σ = 52936243200000. Its totient is φ = 17830481011200.

The previous prime is 31234400120117. The next prime is 31234400120141. The reversal of 31234400120133 is 33102100443213.

It is a happy number.

31234400120133 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 4 + 400 + 120 + 133 = 666.

It is not a de Polignac number, because 31234400120133 - 2⁴ = 31234400120117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31234400120097 and 31234400120106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31234400120633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1688062960 + ... + 1688081462.

It is an arithmetic number, because the mean of its divisors is an integer number (827128800000).

Almost surely, 2^{31234400120133} is an apocalyptic number.

It is an amenable number.

31234400120133 is a deficient number, since it is larger than the sum of its proper divisors (21701843079867).

31234400120133 is a wasteful number, since it uses less digits than its factorization.

31234400120133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26919 (or 26913 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31234400120133 its reverse (33102100443213), we get a palindrome (64336500563346).

The spelling of 31234400120133 in words is "thirty-one trillion, two hundred thirty-four billion, four hundred million, one hundred twenty thousand, one hundred thirty-three".