131133288000 has 896 divisors, whose sum is σ = 535741839360. Its totient is φ = 27786240000.

The previous prime is 131133287983. The next prime is 131133288023. The reversal of 131133288000 is 882331131.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65206995 + ... + 65209005.

It is an arithmetic number, because the mean of its divisors is an integer number (597926160).

Almost surely, 2^131133288000 is an apocalyptic number.

131133288000 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 131133288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267870919680).

131133288000 is an abundant number, since it is smaller than the sum of its proper divisors (404608551360).

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

131133288000 is a wasteful number, since it uses less digits than its factorization.

131133288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 131133288000 in words is "one hundred thirty-one billion, one hundred thirty-three million, two hundred eighty-eight thousand".