10401103313135 has 48 divisors (see below), whose sum is σ = 14324647170816. Its totient is φ = 7218718258176.

The previous prime is 10401103313113. The next prime is 10401103313143. The reversal of 10401103313135 is 53131330110401.

It is a happy number.

It is not a de Polignac number, because 10401103313135 - 2⁸ = 10401103312879 is a prime.

It is a super-4 number, since 4×10401103313135⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3445247 + ... + 5715936.

It is an arithmetic number, because the mean of its divisors is an integer number (298430149392).

Almost surely, 2^{10401103313135} is an apocalyptic number.

10401103313135 is a deficient number, since it is larger than the sum of its proper divisors (3923543857681).

10401103313135 is a wasteful number, since it uses less digits than its factorization.

10401103313135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9161280 (or 9161261 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 10401103313135 its reverse (53131330110401), we get a palindrome (63532433423536).

The spelling of 10401103313135 in words is "ten trillion, four hundred one billion, one hundred three million, three hundred thirteen thousand, one hundred thirty-five".