13105401352535 has 32 divisors (see below), whose sum is σ = 16371633855744. Its totient is φ = 10062688320000.

The previous prime is 13105401352529. The next prime is 13105401352541. The reversal of 13105401352535 is 53525310450131.

It is an interprime number because it is at equal distance from previous prime (13105401352529) and next prime (13105401352541).

It is not a de Polignac number, because 13105401352535 - 2⁸ = 13105401352279 is a prime.

It is a super-2 number, since 2×13105401352535² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3769565 + ... + 6357705.

It is an arithmetic number, because the mean of its divisors is an integer number (511613557992).

Almost surely, 2^{13105401352535} is an apocalyptic number.

13105401352535 is a deficient number, since it is larger than the sum of its proper divisors (3266232503209).

13105401352535 is a wasteful number, since it uses less digits than its factorization.

13105401352535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588555.

The product of its (nonzero) digits is 135000, while the sum is 38.

The spelling of 13105401352535 in words is "thirteen trillion, one hundred five billion, four hundred one million, three hundred fifty-two thousand, five hundred thirty-five".