10121110313213 has 16 divisors (see below), whose sum is σ = 10945084772160. Its totient is φ = 9324643366656.

The previous prime is 10121110313189. The next prime is 10121110313227. The reversal of 10121110313213 is 31231301112101.

10121110313213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10121110313213 - 2¹² = 10121110309117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121110313113) 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, 32749895 + ... + 33057492.

It is an arithmetic number, because the mean of its divisors is an integer number (684067798260).

Almost surely, 2^{10121110313213} is an apocalyptic number.

It is an amenable number.

10121110313213 is a deficient number, since it is larger than the sum of its proper divisors (823974458947).

10121110313213 is a wasteful number, since it uses less digits than its factorization.

10121110313213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65807596.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10121110313213 its reverse (31231301112101), we get a palindrome (41352411425314).

The spelling of 10121110313213 in words is "ten trillion, one hundred twenty-one billion, one hundred ten million, three hundred thirteen thousand, two hundred thirteen".