1013132121031 has 16 divisors (see below), whose sum is σ = 1037896104960. Its totient is φ = 988423601760.

The previous prime is 1013132120939. The next prime is 1013132121059. The reversal of 1013132121031 is 1301212313101.

It is a cyclic number.

It is not a de Polignac number, because 1013132121031 - 2⁹ = 1013132120519 is a prime.

It is a super-2 number, since 2×1013132121031² (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 (1013132121061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216525150 + ... + 216529828.

It is an arithmetic number, because the mean of its divisors is an integer number (64868506560).

Almost surely, 2^{1013132121031} is an apocalyptic number.

1013132121031 is a deficient number, since it is larger than the sum of its proper divisors (24763983929).

1013132121031 is a wasteful number, since it uses less digits than its factorization.

1013132121031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1013132121031 its reverse (1301212313101), we get a palindrome (2314344434132).

The spelling of 1013132121031 in words is "one trillion, thirteen billion, one hundred thirty-two million, one hundred twenty-one thousand, thirty-one".