102034211340213 has 24 divisors (see below), whose sum is σ = 152465689953720. Its totient is φ = 65676859032960.

The previous prime is 102034211340197. The next prime is 102034211340241. The reversal of 102034211340213 is 312043112430201.

102034211340213 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 34 + 211 + 3 + 402 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51988108837284 + 50046102502929 = 7210278^2 + 7074327^2 .

It is not a de Polignac number, because 102034211340213 - 2⁴ = 102034211340197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102034211340263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56759695 + ... + 58529747.

It is an arithmetic number, because the mean of its divisors is an integer number (6352737081405).

Almost surely, 2^{102034211340213} is an apocalyptic number.

It is an amenable number.

102034211340213 is a deficient number, since it is larger than the sum of its proper divisors (50431478613507).

102034211340213 is a wasteful number, since it uses less digits than its factorization.

102034211340213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990949 (or 1990946 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102034211340213 its reverse (312043112430201), we get a palindrome (414077323770414).

The spelling of 102034211340213 in words is "one hundred two trillion, thirty-four billion, two hundred eleven million, three hundred forty thousand, two hundred thirteen".