131514101550 has 288 divisors, whose sum is σ = 394021164960. Its totient is φ = 32240332800.

The previous prime is 131514101539. The next prime is 131514101581. The reversal of 131514101550 is 55101415131.

131514101550 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 1 + 4 + 101 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63196510 + ... + 63198590.

It is an arithmetic number, because the mean of its divisors is an integer number (1368129045).

Almost surely, 2^131514101550 is an apocalyptic number.

131514101550 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 131514101550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197010582480).

131514101550 is an abundant number, since it is smaller than the sum of its proper divisors (262507063410).

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

131514101550 is a wasteful number, since it uses less digits than its factorization.

131514101550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 131514101550 its reverse (55101415131), we get a palindrome (186615516681).

The spelling of 131514101550 in words is "one hundred thirty-one billion, five hundred fourteen million, one hundred one thousand, five hundred fifty".