13031400 has 96 divisors (see below), whose sum is σ = 41559840. Its totient is φ = 3375360.

The previous prime is 13031393. The next prime is 13031407. The reversal of 13031400 is 413031.

It is an interprime number because it is at equal distance from previous prime (13031393) and next prime (13031407).

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

It is not an unprimeable number, because it can be changed into a prime (13031407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21907 + ... + 22493.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 2^13031400 is an apocalyptic number.

13031400 is a gapful number since it is divisible by the number (10) 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 13031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

13031400 is an abundant number, since it is smaller than the sum of its proper divisors (28528440).

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

13031400 is a wasteful number, since it uses less digits than its factorization.

13031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

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

The square root of 13031400 is about 3609.9030457895. The cubic root of 13031400 is about 235.3226291431.

Adding to 13031400 its reverse (413031), we get a palindrome (13444431).

It can be divided in two parts, 13031 and 400, that added together give a palindrome (13431).

The spelling of 13031400 in words is "thirteen million, thirty-one thousand, four hundred".