135100713501 has 24 divisors (see below), whose sum is σ = 210403194456. Its totient is φ = 83041372800.

The previous prime is 135100713499. The next prime is 135100713533. The reversal of 135100713501 is 105317001531.

135100713501 is a `hidden beast` number, since 13 + 510 + 0 + 7 + 135 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3962576601 + 131138136900 = 62949^2 + 362130^2 .

It is not a de Polignac number, because 135100713501 - 2¹ = 135100713499 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135100713301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577050 + ... + 776651.

It is an arithmetic number, because the mean of its divisors is an integer number (8766799769).

Almost surely, 2^135100713501 is an apocalyptic number.

It is an amenable number.

135100713501 is a deficient number, since it is larger than the sum of its proper divisors (75302480955).

135100713501 is a wasteful number, since it uses less digits than its factorization.

135100713501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354573 (or 1354570 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The spelling of 135100713501 in words is "one hundred thirty-five billion, one hundred million, seven hundred thirteen thousand, five hundred one".