10401312464135 has 16 divisors (see below), whose sum is σ = 13284260840736. Its totient is φ = 7790998315008.

The previous prime is 10401312464117. The next prime is 10401312464143. The reversal of 10401312464135 is 53146421310401.

It is a cyclic number.

It is not a de Polignac number, because 10401312464135 - 2²⁰ = 10401311415559 is a prime.

It is a super-2 number, since 2×10401312464135² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10401312464095 and 10401312464104.

It is a congruent number.

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, 317000129 + ... + 317032938.

It is an arithmetic number, because the mean of its divisors is an integer number (830266302546).

Almost surely, 2^{10401312464135} is an apocalyptic number.

10401312464135 is a deficient number, since it is larger than the sum of its proper divisors (2882948376601).

10401312464135 is a wasteful number, since it uses less digits than its factorization.

10401312464135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634033282.

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 10401312464135 its reverse (53146421310401), we get a palindrome (63547733774536).

The spelling of 10401312464135 in words is "ten trillion, four hundred one billion, three hundred twelve million, four hundred sixty-four thousand, one hundred thirty-five".