10513315123101 has 48 divisors (see below), whose sum is σ = 17469891129600. Its totient is φ = 5967964963584.

The previous prime is 10513315123099. The next prime is 10513315123111. The reversal of 10513315123101 is 10132151331501.

10513315123101 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 331 + 5 + 12 + 310 + 1 = 666.

It is not a de Polignac number, because 10513315123101 - 2¹ = 10513315123099 is a prime.

It is a super-2 number, since 2×10513315123101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513315123111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43488880 + ... + 43729958.

It is an arithmetic number, because the mean of its divisors is an integer number (363956065200).

Almost surely, 2^{10513315123101} is an apocalyptic number.

It is an amenable number.

10513315123101 is a deficient number, since it is larger than the sum of its proper divisors (6956576006499).

10513315123101 is a wasteful number, since it uses less digits than its factorization.

10513315123101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245658 (or 245655 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

Adding to 10513315123101 its reverse (10132151331501), we get a palindrome (20645466454602).

The spelling of 10513315123101 in words is "ten trillion, five hundred thirteen billion, three hundred fifteen million, one hundred twenty-three thousand, one hundred one".