135103401313024 has 144 divisors (see below), whose sum is σ = 280114183673856. Its totient is φ = 64965182054400.

The previous prime is 135103401313009. The next prime is 135103401313033. The reversal of 135103401313024 is 420313104301531.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6768358404 + ... + 6768378364.

It is an arithmetic number, because the mean of its divisors is an integer number (1945237386624).

Almost surely, 2^{135103401313024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135103401313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140057091836928).

135103401313024 is an abundant number, since it is smaller than the sum of its proper divisors (145010782360832).

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

135103401313024 is a wasteful number, since it uses less digits than its factorization.

135103401313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25282 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 135103401313024 its reverse (420313104301531), we get a palindrome (555416505614555).

The spelling of 135103401313024 in words is "one hundred thirty-five trillion, one hundred three billion, four hundred one million, three hundred thirteen thousand, twenty-four".