1020101131031 has 32 divisors (see below), whose sum is σ = 1076409734400. Its totient is φ = 965610374400.

The previous prime is 1020101131019. The next prime is 1020101131033. The reversal of 1020101131031 is 1301311010201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1020101131031 - 2²⁶ = 1020034022167 is a prime.

It is a super-2 number, since 2×1020101131031² (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 = 1020101130997 and 1020101131015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101131033) 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 31 ways as a sum of consecutive naturals, for example, 485992820 + ... + 485994918.

It is an arithmetic number, because the mean of its divisors is an integer number (33637804200).

Almost surely, 2^{1020101131031} is an apocalyptic number.

1020101131031 is a deficient number, since it is larger than the sum of its proper divisors (56308603369).

1020101131031 is a wasteful number, since it uses less digits than its factorization.

1020101131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887.

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

Adding to 1020101131031 its reverse (1301311010201), we get a palindrome (2321412141232).

The spelling of 1020101131031 in words is "one trillion, twenty billion, one hundred one million, one hundred thirty-one thousand, thirty-one".