1020312101013 has 8 divisors (see below), whose sum is σ = 1407327036000. Its totient is φ = 656752616688.

The previous prime is 1020312101009. The next prime is 1020312101027. The reversal of 1020312101013 is 3101012130201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1020312101013 - 2² = 1020312101009 is a prime.

It is a super-3 number, since 3×1020312101013³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020312100983 and 1020312101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020312101063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5863862563 + ... + 5863862736.

It is an arithmetic number, because the mean of its divisors is an integer number (175915879500).

Almost surely, 2^{1020312101013} is an apocalyptic number.

It is an amenable number.

1020312101013 is a deficient number, since it is larger than the sum of its proper divisors (387014934987).

1020312101013 is a wasteful number, since it uses less digits than its factorization.

1020312101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11727725331.

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

Adding to 1020312101013 its reverse (3101012130201), we get a palindrome (4121324231214).

The spelling of 1020312101013 in words is "one trillion, twenty billion, three hundred twelve million, one hundred one thousand, thirteen".