1013032303101 has 192 divisors, whose sum is σ = 1849424898048. Its totient is φ = 520206188544.

The previous prime is 1013032303091. The next prime is 1013032303139.

It is a happy number.

1013032303101 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 323 + 0 + 310 + 1 = 666.

1013032303101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1013032303101 - 2¹⁸ = 1013032040957 is a prime.

It is a super-2 number, since 2×1013032303101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013032303601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2760305820 + ... + 2760306186.

It is an arithmetic number, because the mean of its divisors is an integer number (9632421344).

Almost surely, 2^{1013032303101} is an apocalyptic number.

It is an amenable number.

1013032303101 is a deficient number, since it is larger than the sum of its proper divisors (836392594947).

1013032303101 is a wasteful number, since it uses less digits than its factorization.

1013032303101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The spelling of 1013032303101 in words is "one trillion, thirteen billion, thirty-two million, three hundred three thousand, one hundred one".