31413000000 has 392 divisors, whose sum is σ = 107075504416. Its totient is φ = 8121600000.

The previous prime is 31412999999. The next prime is 31413000023. The reversal of 31413000000 is 31413.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 31413000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 110999859 + ... + 111000141.

Almost surely, 2^31413000000 is an apocalyptic number.

31413000000 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 31413000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53537752208).

31413000000 is an abundant number, since it is smaller than the sum of its proper divisors (75662504416).

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

31413000000 is an frugal number, since it uses more digits than its factorization.

31413000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31413000000 its reverse (31413), we get a palindrome (31413031413).

Multiplying 31413000000 by its reverse (31413), we get a square (986776569000000 = 31413000²).

31413000000 divided by its reverse (31413) gives a 6-th power (1000000 = 10⁶).

The spelling of 31413000000 in words is "thirty-one billion, four hundred thirteen million", and thus it is an aban number.