1220112010013 has 32 divisors (see below), whose sum is σ = 1342374495840. Its totient is φ = 1102027530240.

The previous prime is 1220112010009. The next prime is 1220112010021. The reversal of 1220112010013 is 3100102110221.

It can be written as a sum of positive squares in 16 ways, for example, as 432381208249 + 787730801764 = 657557^2 + 887542^2 .

It is not a de Polignac number, because 1220112010013 - 2² = 1220112010009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1220112010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220112012013) 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, 573090533 + ... + 573092661.

It is an arithmetic number, because the mean of its divisors is an integer number (41949202995).

Almost surely, 2^{1220112010013} is an apocalyptic number.

1220112010013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1220112010013 is a deficient number, since it is larger than the sum of its proper divisors (122262485827).

1220112010013 is a wasteful number, since it uses less digits than its factorization.

1220112010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1220112010013 its reverse (3100102110221), we get a palindrome (4320214120234).

The spelling of 1220112010013 in words is "one trillion, two hundred twenty billion, one hundred twelve million, ten thousand, thirteen".