31534013000 has 128 divisors (see below), whose sum is σ = 84410726400. Its totient is φ = 10801440000.

The previous prime is 31534012999. The next prime is 31534013041. The reversal of 31534013000 is 31043513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13655846 + ... + 13658154.

It is an arithmetic number, because the mean of its divisors is an integer number (659458800).

Almost surely, 2^31534013000 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 31534013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42205363200).

31534013000 is an abundant number, since it is smaller than the sum of its proper divisors (52876713400).

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

31534013000 is a wasteful number, since it uses less digits than its factorization.

31534013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 31534013000 its reverse (31043513), we get a palindrome (31565056513).

The spelling of 31534013000 in words is "thirty-one billion, five hundred thirty-four million, thirteen thousand".