131309373440 has 192 divisors, whose sum is σ = 371696532480. Its totient is φ = 43567349760.

The previous prime is 131309373373. The next prime is 131309373509. The reversal of 131309373440 is 44373903131.

It is a super-3 number, since 3×131309373440³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131309373394 and 131309373403.

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, 2192534 + ... + 2251626.

It is an arithmetic number, because the mean of its divisors is an integer number (1935919440).

Almost surely, 2^131309373440 is an apocalyptic number.

131309373440 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 131309373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185848266240).

131309373440 is an abundant number, since it is smaller than the sum of its proper divisors (240387159040).

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

131309373440 is an equidigital number, since it uses as much as digits as its factorization.

131309373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59158 (or 59138 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 38.

The spelling of 131309373440 in words is "one hundred thirty-one billion, three hundred nine million, three hundred seventy-three thousand, four hundred forty".