1013132121331 has 8 divisors (see below), whose sum is σ = 1105258249584. Its totient is φ = 921009861120.

The previous prime is 1013132121319. The next prime is 1013132121349. The reversal of 1013132121331 is 1331212313101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1013132121331 is a prime.

It is a super-2 number, since 2×1013132121331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013132121371) 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 7 ways as a sum of consecutive naturals, for example, 405150 + ... + 1480003.

It is an arithmetic number, because the mean of its divisors is an integer number (138157281198).

Almost surely, 2^{1013132121331} is an apocalyptic number.

1013132121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013132121331 is a deficient number, since it is larger than the sum of its proper divisors (92126128253).

1013132121331 is a wasteful number, since it uses less digits than its factorization.

1013132121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934021.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1013132121331 its reverse (1331212313101), we get a palindrome (2344344434432).

The spelling of 1013132121331 in words is "one trillion, thirteen billion, one hundred thirty-two million, one hundred twenty-one thousand, three hundred thirty-one".