131016912 has 120 divisors (see below), whose sum is σ = 379047168. Its totient is φ = 38937600.

The previous prime is 131016887. The next prime is 131016917. The reversal of 131016912 is 219610131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131016917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251212 + ... + 251732.

Almost surely, 2^131016912 is an apocalyptic number.

131016912 is a gapful number since it is divisible by the number (12) 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 131016912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189523584).

131016912 is an abundant number, since it is smaller than the sum of its proper divisors (248030256).

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

131016912 is a wasteful number, since it uses less digits than its factorization.

131016912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 131016912 is about 11446.2619225667. The cubic root of 131016912 is about 507.8971623110.

It can be divided in two parts, 1310169 and 12, that multiplied together give a triangular number (15722028 = T₅₆₀₇).

The spelling of 131016912 in words is "one hundred thirty-one million, sixteen thousand, nine hundred twelve".