31011013000 has 128 divisors (see below), whose sum is σ = 79257709440. Its totient is φ = 11263200000.

The previous prime is 31011012941. The next prime is 31011013003. The reversal of 31011013000 is 31011013.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (31011013003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16312050 + ... + 16313950.

It is an arithmetic number, because the mean of its divisors is an integer number (619200855).

Almost surely, 2^31011013000 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 31011013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39628854720).

31011013000 is an abundant number, since it is smaller than the sum of its proper divisors (48246696440).

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

31011013000 is a wasteful number, since it uses less digits than its factorization.

31011013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 31011013000 its reverse (31011013), we get a palindrome (31042024013).

31011013000 divided by its reverse (31011013) gives a cube (1000 = 10³).

It can be divided in two parts, 3101 and 1013000, that added together give a palindrome (1016101).

The spelling of 31011013000 in words is "thirty-one billion, eleven million, thirteen thousand".