31013134200 has 240 divisors, whose sum is σ = 109324695480. Its totient is φ = 8146448640.

The previous prime is 31013134181. The next prime is 31013134211. The reversal of 31013134200 is 243131013.

31013134200 is a `hidden beast` number, since 310 + 1 + 313 + 42 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1071114 + ... + 1099686.

Almost surely, 2^31013134200 is an apocalyptic number.

31013134200 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 31013134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54662347740).

31013134200 is an abundant number, since it is smaller than the sum of its proper divisors (78311561280).

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

31013134200 is a wasteful number, since it uses less digits than its factorization.

31013134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28668 (or 28650 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31013134200 its reverse (243131013), we get a palindrome (31256265213).

The spelling of 31013134200 in words is "thirty-one billion, thirteen million, one hundred thirty-four thousand, two hundred".