131401312 has 96 divisors (see below), whose sum is σ = 309657600. Its totient is φ = 53706240.

The previous prime is 131401297. The next prime is 131401339. The reversal of 131401312 is 213104131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881814 + ... + 881962.

It is an arithmetic number, because the mean of its divisors is an integer number (3225600).

Almost surely, 2^131401312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

131401312 is an abundant number, since it is smaller than the sum of its proper divisors (178256288).

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

131401312 is a wasteful number, since it uses less digits than its factorization.

131401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131401312 is about 11463.0411322650. The cubic root of 131401312 is about 508.3933960622.

Adding to 131401312 its reverse (213104131), we get a palindrome (344505443).

The spelling of 131401312 in words is "one hundred thirty-one million, four hundred one thousand, three hundred twelve".