1013002021031 has 48 divisors (see below), whose sum is σ = 1367924168448. Its totient is φ = 728453606400.

The previous prime is 1013002020973. The next prime is 1013002021033. The reversal of 1013002021031 is 1301202003101.

It is not a de Polignac number, because 1013002021031 - 2²² = 1012997826727 is a prime.

It is a super-2 number, since 2×1013002021031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013002020997 and 1013002021015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013002021033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76210496 + ... + 76223786.

It is an arithmetic number, because the mean of its divisors is an integer number (28498420176).

Almost surely, 2^{1013002021031} is an apocalyptic number.

1013002021031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013002021031 is a deficient number, since it is larger than the sum of its proper divisors (354922147417).

1013002021031 is a wasteful number, since it uses less digits than its factorization.

1013002021031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19192 (or 19179 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1013002021031 its reverse (1301202003101), we get a palindrome (2314204024132).

The spelling of 1013002021031 in words is "one trillion, thirteen billion, two million, twenty-one thousand, thirty-one".