10342177885313 has 2 divisors, whose sum is σ = 10342177885314. Its totient is φ = 10342177885312.

The previous prime is 10342177885301. The next prime is 10342177885337. The reversal of 10342177885313 is 31358877124301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6935469726784 + 3406708158529 = 2633528^2 + 1845727^2 .

It is a cyclic number.

It is not a de Polignac number, because 10342177885313 - 2¹⁴ = 10342177868929 is a prime.

It is a super-2 number, since 2×10342177885313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10342177885343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5171088942656 + 5171088942657.

It is an arithmetic number, because the mean of its divisors is an integer number (5171088942657).

Almost surely, 2^{10342177885313} is an apocalyptic number.

It is an amenable number.

10342177885313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10342177885313 is an equidigital number, since it uses as much as digits as its factorization.

10342177885313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 10342177885313 in words is "ten trillion, three hundred forty-two billion, one hundred seventy-seven million, eight hundred eighty-five thousand, three hundred thirteen".