131011400 has 96 divisors (see below), whose sum is σ = 336306600. Its totient is φ = 47155200.

The previous prime is 131011399. The next prime is 131011457. The reversal of 131011400 is 4110131.

It can be written as a sum of positive squares in 12 ways, for example, as 1552516 + 129458884 = 1246^2 + 11378^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105986 + ... + 107214.

Almost surely, 2^131011400 is an apocalyptic number.

131011400 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 131011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168153300).

131011400 is an abundant number, since it is smaller than the sum of its proper divisors (205295200).

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

131011400 is a wasteful number, since it uses less digits than its factorization.

131011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 131011400 is about 11446.0211427378. The cubic root of 131011400 is about 507.8900396468.

Adding to 131011400 its reverse (4110131), we get a palindrome (135121531).

The spelling of 131011400 in words is "one hundred thirty-one million, eleven thousand, four hundred".