101523505344213 has 32 divisors (see below), whose sum is σ = 138645572567040. Its totient is φ = 66044920374720.

The previous prime is 101523505344179. The next prime is 101523505344223. The reversal of 101523505344213 is 312443505325101.

It is not a de Polignac number, because 101523505344213 - 2¹⁰ = 101523505343189 is a prime.

It is a super-2 number, since 2×101523505344213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101523505344223) 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, 1569619408 + ... + 1569684086.

It is an arithmetic number, because the mean of its divisors is an integer number (4332674142720).

Almost surely, 2^{101523505344213} is an apocalyptic number.

It is an amenable number.

101523505344213 is a deficient number, since it is larger than the sum of its proper divisors (37122067222827).

101523505344213 is a wasteful number, since it uses less digits than its factorization.

101523505344213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76209.

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 101523505344213 in words is "one hundred one trillion, five hundred twenty-three billion, five hundred five million, three hundred forty-four thousand, two hundred thirteen".