101322002013 has 8 divisors (see below), whose sum is σ = 135100082208. Its totient is φ = 67545961584.

The previous prime is 101322001999. The next prime is 101322002059. The reversal of 101322002013 is 310200223101.

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

It is not a de Polignac number, because 101322002013 - 2⁴ = 101322001997 is a prime.

It is a super-2 number, since 2×101322002013² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101322001983 and 101322002001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322002813) 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, 390006 + ... + 595607.

It is an arithmetic number, because the mean of its divisors is an integer number (16887510276).

Almost surely, 2^101322002013 is an apocalyptic number.

It is an amenable number.

101322002013 is a deficient number, since it is larger than the sum of its proper divisors (33778080195).

101322002013 is an equidigital number, since it uses as much as digits as its factorization.

101322002013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019883.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101322002013 its reverse (310200223101), we get a palindrome (411522225114).

The spelling of 101322002013 in words is "one hundred one billion, three hundred twenty-two million, two thousand, thirteen".