10342787138901 has 18 divisors (see below), whose sum is σ = 17378696757942. Its totient is φ = 5910164079120.

The previous prime is 10342787138821. The next prime is 10342787138947. The reversal of 10342787138901 is 10983178724301.

10342787138901 is a `hidden beast` number, since 1 + 0 + 3 + 427 + 87 + 138 + 9 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7200640926801 + 3142146212100 = 2683401^2 + 1772610^2 .

It is not a de Polignac number, because 10342787138901 - 2⁹ = 10342787138389 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342787138951) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11726515590 + ... + 11726516471.

It is an arithmetic number, because the mean of its divisors is an integer number (965483153219).

Almost surely, 2^{10342787138901} is an apocalyptic number.

It is an amenable number.

10342787138901 is a deficient number, since it is larger than the sum of its proper divisors (7035909619041).

10342787138901 is a wasteful number, since it uses less digits than its factorization.

10342787138901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23453032081 (or 23453032071 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 10342787138901 in words is "ten trillion, three hundred forty-two billion, seven hundred eighty-seven million, one hundred thirty-eight thousand, nine hundred one".