131328901704 has 1536 divisors, whose sum is σ = 518924206080. Its totient is φ = 26763264000.

The previous prime is 131328901679. The next prime is 131328901733. The reversal of 131328901704 is 407109823131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3203143924 + ... + 3203143964.

It is an arithmetic number, because the mean of its divisors is an integer number (337841280).

Almost surely, 2^131328901704 is an apocalyptic number.

131328901704 is a gapful number since it is divisible by the number (14) 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 131328901704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259462103040).

131328901704 is an abundant number, since it is smaller than the sum of its proper divisors (387595304376).

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

131328901704 is a wasteful number, since it uses less digits than its factorization.

131328901704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 131328901704 in words is "one hundred thirty-one billion, three hundred twenty-eight million, nine hundred one thousand, seven hundred four".