131338586610 has 384 divisors, whose sum is σ = 460278374400. Its totient is φ = 25155048960.

The previous prime is 131338586609. The next prime is 131338586651. The reversal of 131338586610 is 16685833131.

131338586610 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 8 + 586 + 61 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4858311 + ... + 4885269.

It is an arithmetic number, because the mean of its divisors is an integer number (1198641600).

Almost surely, 2^131338586610 is an apocalyptic number.

131338586610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131338586610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230139187200).

131338586610 is an abundant number, since it is smaller than the sum of its proper divisors (328939787790).

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

131338586610 is a wasteful number, since it uses less digits than its factorization.

131338586610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27046 (or 27043 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 131338586610 in words is "one hundred thirty-one billion, three hundred thirty-eight million, five hundred eighty-six thousand, six hundred ten".