31104000000000 has 1020 divisors, whose sum is σ = 116479099400664. Its totient is φ = 8294400000000.

The previous prime is 31103999999971. The next prime is 31104000000049. The reversal of 31104000000000 is 40113.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 in 59 ways as a sum of consecutive naturals, for example, 6220799999998 + ... + 6220800000002.

Almost surely, 2^{31104000000000} is an apocalyptic number.

31104000000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31104000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58239549700332).

31104000000000 is an abundant number, since it is smaller than the sum of its proper divisors (85375099400664).

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

31104000000000 is an frugal number, since it uses more digits than its factorization.

31104000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Multiplying 31104000000000 by its product of nonzero digits (12), we get a cube (373248000000000 = 72000³).

Adding to 31104000000000 its reverse (40113), we get a palindrome (31104000040113).

The spelling of 31104000000000 in words is "thirty-one trillion, one hundred four billion", and thus it is an aban number.