1013132313101 has 16 divisors (see below), whose sum is σ = 1044750955248. Its totient is φ = 982137600000.

The previous prime is 1013132313097. The next prime is 1013132313107.

1013132313101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 182529745225 + 830602567876 = 427235^2 + 911374^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013132313101 - 2² = 1013132313097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013132313107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508601 + ... + 1511601.

It is an arithmetic number, because the mean of its divisors is an integer number (65296934703).

Almost surely, 2^{1013132313101} is an apocalyptic number.

It is an amenable number.

1013132313101 is a deficient number, since it is larger than the sum of its proper divisors (31618642147).

1013132313101 is a wasteful number, since it uses less digits than its factorization.

1013132313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003312.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 1013132313101 in words is "one trillion, thirteen billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred one".