131202400 has 108 divisors (see below), whose sum is σ = 372702708. Its totient is φ = 44970240.

The previous prime is 131202367. The next prime is 131202431. The reversal of 131202400 is 4202131.

131202400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37527 + ... + 40873.

It is an arithmetic number, because the mean of its divisors is an integer number (3450951).

Almost surely, 2^131202400 is an apocalyptic number.

131202400 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 131202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186351354).

131202400 is an abundant number, since it is smaller than the sum of its proper divisors (241500308).

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

131202400 is a wasteful number, since it uses less digits than its factorization.

131202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 131202400 is about 11454.3616146863. The cubic root of 131202400 is about 508.1367354659.

Adding to 131202400 its reverse (4202131), we get a palindrome (135404531).

The spelling of 131202400 in words is "one hundred thirty-one million, two hundred two thousand, four hundred".