221312130101013 has 32 divisors (see below), whose sum is σ = 361410844686336. Its totient is φ = 117696294796608.

The previous prime is 221312130101003. The next prime is 221312130101137. The reversal of 221312130101013 is 310101031213122.

221312130101013 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221312130101013 - 2¹⁷ = 221312129969941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221312130101003) 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, 6191916831 + ... + 6191952572.

It is an arithmetic number, because the mean of its divisors is an integer number (11294088896448).

Almost surely, 2^{221312130101013} is an apocalyptic number.

221312130101013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

221312130101013 is a deficient number, since it is larger than the sum of its proper divisors (140098714585323).

221312130101013 is a wasteful number, since it uses less digits than its factorization.

221312130101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12383869473.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 221312130101013 its reverse (310101031213122), we get a palindrome (531413161314135).

The spelling of 221312130101013 in words is "two hundred twenty-one trillion, three hundred twelve billion, one hundred thirty million, one hundred one thousand, thirteen".