103312212133013 has 24 divisors (see below), whose sum is σ = 116309749451448. Its totient is φ = 91216642442112.

The previous prime is 103312212133007. The next prime is 103312212133049. The reversal of 103312212133013 is 310331212213301.

It can be written as a sum of positive squares in 4 ways, for example, as 13366752787249 + 89945459345764 = 3656057^2 + 9483958^2 .

It is not a de Polignac number, because 103312212133013 - 2⁸ = 103312212132757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312212133003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335147831 + ... + 335455947.

It is an arithmetic number, because the mean of its divisors is an integer number (4846239560477).

Almost surely, 2^{103312212133013} is an apocalyptic number.

103312212133013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103312212133013 is a deficient number, since it is larger than the sum of its proper divisors (12997537318435).

103312212133013 is a wasteful number, since it uses less digits than its factorization.

103312212133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356933 (or 356910 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 103312212133013 its reverse (310331212213301), we get a palindrome (413643424346314).

The spelling of 103312212133013 in words is "one hundred three trillion, three hundred twelve billion, two hundred twelve million, one hundred thirty-three thousand, thirteen".