131001400 has 48 divisors (see below), whose sum is σ = 305828640. Its totient is φ = 52185600.

The previous prime is 131001379. The next prime is 131001407. The reversal of 131001400 is 4100131.

It is a happy number.

It is a super-2 number, since 2×131001400² = 34322733603920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52992 + ... + 55408.

It is an arithmetic number, because the mean of its divisors is an integer number (6371430).

Almost surely, 2^131001400 is an apocalyptic number.

131001400 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 131001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152914320).

131001400 is an abundant number, since it is smaller than the sum of its proper divisors (174827240).

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

131001400 is a wasteful number, since it uses less digits than its factorization.

131001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131001400 is about 11445.5843013802. The cubic root of 131001400 is about 507.8771170318.

Adding to 131001400 its reverse (4100131), we get a palindrome (135101531).

The spelling of 131001400 in words is "one hundred thirty-one million, one thousand, four hundred".