31204005402132 has 144 divisors (see below), whose sum is σ = 81099324563712. Its totient is φ = 10111321912320.

The previous prime is 31204005402121. The next prime is 31204005402139. The reversal of 31204005402132 is 23120450040213.

31204005402132 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 400 + 5 + 40 + 213 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31204005402096 and 31204005402105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31204005402139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456959832 + ... + 457028112.

Almost surely, 2^{31204005402132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31204005402132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40549662281856).

31204005402132 is an abundant number, since it is smaller than the sum of its proper divisors (49895319161580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31204005402132 is a wasteful number, since it uses less digits than its factorization.

31204005402132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70158 (or 70153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 31204005402132 its reverse (23120450040213), we get a palindrome (54324455442345).

It can be divided in two parts, 3120400540213 and 2, that multiplied together give a palindrome (6240801080426).

The spelling of 31204005402132 in words is "thirty-one trillion, two hundred four billion, five million, four hundred two thousand, one hundred thirty-two".