131009400 has 120 divisors (see below), whose sum is σ = 455071320. Its totient is φ = 34931520.

The previous prime is 131009393. The next prime is 131009407. The reversal of 131009400 is 4900131.

It is an interprime number because it is at equal distance from previous prime (131009393) and next prime (131009407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131009407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12157 + ... + 20243.

It is an arithmetic number, because the mean of its divisors is an integer number (3792261).

Almost surely, 2^131009400 is an apocalyptic number.

131009400 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 131009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227535660).

131009400 is an abundant number, since it is smaller than the sum of its proper divisors (324061920).

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

131009400 is a wasteful number, since it uses less digits than its factorization.

131009400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8115 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131009400 is about 11445.9337758000. The cubic root of 131009400 is about 507.8874551764.

Adding to 131009400 its reverse (4900131), we get a palindrome (135909531).

It can be divided in two parts, 13100 and 9400, that added together give a square (22500 = 150²).

The spelling of 131009400 in words is "one hundred thirty-one million, nine thousand, four hundred".