1013131021000 has 128 divisors (see below), whose sum is σ = 2747563752960. Its totient is φ = 342466656000.

The previous prime is 1013131020991. The next prime is 1013131021027. The reversal of 1013131021000 is 1201313101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 522247 + ... + 1516246.

It is an arithmetic number, because the mean of its divisors is an integer number (21465341820).

Almost surely, 2^{1013131021000} is an apocalyptic number.

1013131021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013131021000 is an abundant number, since it is smaller than the sum of its proper divisors (1734432731960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013131021000 is a wasteful number, since it uses less digits than its factorization.

1013131021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038592 (or 2038578 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1013131021000 its reverse (1201313101), we get a palindrome (1014332334101).

The spelling of 1013131021000 in words is "one trillion, thirteen billion, one hundred thirty-one million, twenty-one thousand".