31013400 has 192 divisors, whose sum is σ = 108564480. Its totient is φ = 7257600.

The previous prime is 31013399. The next prime is 31013401. The reversal of 31013400 is 431013.

It is an interprime number because it is at equal distance from previous prime (31013399) and next prime (31013401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244137 + ... + 244263.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 2^31013400 is an apocalyptic number.

31013400 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 31013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54282240).

31013400 is an abundant number, since it is smaller than the sum of its proper divisors (77551080).

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

31013400 is a wasteful number, since it uses less digits than its factorization.

31013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

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

The square root of 31013400 is about 5568.9675883417. The cubic root of 31013400 is about 314.1833216230.

Adding to 31013400 its reverse (431013), we get a palindrome (31444413).

It can be divided in two parts, 31013 and 400, that added together give a palindrome (31413).

The spelling of 31013400 in words is "thirty-one million, thirteen thousand, four hundred".