101315400525 has 36 divisors (see below), whose sum is σ = 182327258880. Its totient is φ = 53778765600.

The previous prime is 101315400517. The next prime is 101315400541. The reversal of 101315400525 is 525004513101.

101315400525 is a `hidden beast` number, since 1 + 0 + 131 + 5 + 4 + 0 + 0 + 525 = 666.

It is not a de Polignac number, because 101315400525 - 2³ = 101315400517 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1019565 + ... + 1114514.

It is an arithmetic number, because the mean of its divisors is an integer number (5064646080).

Almost surely, 2^101315400525 is an apocalyptic number.

101315400525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101315400525 is a deficient number, since it is larger than the sum of its proper divisors (81011858355).

101315400525 is a wasteful number, since it uses less digits than its factorization.

101315400525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134306 (or 2134298 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 101315400525 its reverse (525004513101), we get a palindrome (626319913626).

The spelling of 101315400525 in words is "one hundred one billion, three hundred fifteen million, four hundred thousand, five hundred twenty-five".