1013101120031 has 32 divisors (see below), whose sum is σ = 1362269733888. Its totient is φ = 727620848640.

The previous prime is 1013101120019. The next prime is 1013101120033. The reversal of 1013101120031 is 1300211013101.

It is a happy number.

1013101120031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-1013101120031 is a prime.

It is a super-2 number, since 2×1013101120031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013101119988 and 1013101120015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013101120033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78251 + ... + 1425596.

It is an arithmetic number, because the mean of its divisors is an integer number (42570929184).

Almost surely, 2^{1013101120031} is an apocalyptic number.

1013101120031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013101120031 is a deficient number, since it is larger than the sum of its proper divisors (349168613857).

1013101120031 is a wasteful number, since it uses less digits than its factorization.

1013101120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504551.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1013101120031 its reverse (1300211013101), we get a palindrome (2313312133132).

The spelling of 1013101120031 in words is "one trillion, thirteen billion, one hundred one million, one hundred twenty thousand, thirty-one".