101002310323213 has 32 divisors (see below), whose sum is σ = 112236953724000. Its totient is φ = 90298261401600.

The previous prime is 101002310323153. The next prime is 101002310323231. The reversal of 101002310323213 is 312323013200101.

It can be written as a sum of positive squares in 16 ways, for example, as 41081985087529 + 59920325235684 = 6409523^2 + 7740822^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002310323213 - 2²⁵ = 101002276768781 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 (101002310323283) 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, 39035463 + ... + 41542411.

It is an arithmetic number, because the mean of its divisors is an integer number (3507404803875).

Almost surely, 2^{101002310323213} is an apocalyptic number.

101002310323213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101002310323213 is a deficient number, since it is larger than the sum of its proper divisors (11234643400787).

101002310323213 is a wasteful number, since it uses less digits than its factorization.

101002310323213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507553.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101002310323213 its reverse (312323013200101), we get a palindrome (413325323523314).

The spelling of 101002310323213 in words is "one hundred one trillion, two billion, three hundred ten million, three hundred twenty-three thousand, two hundred thirteen".