1020013312101 has 16 divisors (see below), whose sum is σ = 1554632755200. Its totient is φ = 582742216368.

The previous prime is 1020013312013. The next prime is 1020013312111. The reversal of 1020013312101 is 1012133100201.

It is a happy number.

It is not a de Polignac number, because 1020013312101 - 2¹⁰ = 1020013311077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020013312111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5003241 + ... + 5203118.

It is an arithmetic number, because the mean of its divisors is an integer number (97164547200).

Almost surely, 2^{1020013312101} is an apocalyptic number.

It is an amenable number.

1020013312101 is a deficient number, since it is larger than the sum of its proper divisors (534619443099).

1020013312101 is a wasteful number, since it uses less digits than its factorization.

1020013312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10211128.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1020013312101 its reverse (1012133100201), we get a palindrome (2032146412302).

The spelling of 1020013312101 in words is "one trillion, twenty billion, thirteen million, three hundred twelve thousand, one hundred one".