131026415520 has 1152 divisors, whose sum is σ = 569889976320. Its totient is φ = 24873246720.

The previous prime is 131026415407. The next prime is 131026415539. The reversal of 131026415520 is 25514620131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 548227561 + ... + 548227799.

It is an arithmetic number, because the mean of its divisors is an integer number (494696160).

Almost surely, 2^131026415520 is an apocalyptic number.

131026415520 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 131026415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284944988160).

131026415520 is an abundant number, since it is smaller than the sum of its proper divisors (438863560800).

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

131026415520 is a wasteful number, since it uses less digits than its factorization.

131026415520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 131026415520 in words is "one hundred thirty-one billion, twenty-six million, four hundred fifteen thousand, five hundred twenty".