131333764016 has 120 divisors (see below), whose sum is σ = 315393384960. Its totient is φ = 51875036928.

The previous prime is 131333764013. The next prime is 131333764031. The reversal of 131333764016 is 610467333131.

It is a happy number.

It is a super-2 number, since 2×131333764016² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131333764013) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12922745 + ... + 12932903.

It is an arithmetic number, because the mean of its divisors is an integer number (2628278208).

Almost surely, 2^131333764016 is an apocalyptic number.

131333764016 is a gapful number since it is divisible by the number (16) 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 131333764016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157696692480).

131333764016 is an abundant number, since it is smaller than the sum of its proper divisors (184059620944).

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

131333764016 is a wasteful number, since it uses less digits than its factorization.

131333764016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10883 (or 10864 counting only the distinct ones).

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

The spelling of 131333764016 in words is "one hundred thirty-one billion, three hundred thirty-three million, seven hundred sixty-four thousand, sixteen".