101331013000213 has 4 divisors (see below), whose sum is σ = 101453245827340. Its totient is φ = 101208780173088.

The previous prime is 101331013000207. The next prime is 101331013000277. The reversal of 101331013000213 is 312000310133101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 74625703672689 + 26705309327524 = 8638617^2 + 5167718^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101331013000213 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 (101331013000313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61116412320 + ... + 61116413977.

It is an arithmetic number, because the mean of its divisors is an integer number (25363311456835).

Almost surely, 2^{101331013000213} is an apocalyptic number.

It is an amenable number.

101331013000213 is a deficient number, since it is larger than the sum of its proper divisors (122232827127).

101331013000213 is an equidigital number, since it uses as much as digits as its factorization.

101331013000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122232827126.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101331013000213 its reverse (312000310133101), we get a palindrome (413331323133314).

The spelling of 101331013000213 in words is "one hundred one trillion, three hundred thirty-one billion, thirteen million, two hundred thirteen", and thus it is an aban number.