10342105052031 has 192 divisors, whose sum is σ = 16724773296000. Its totient is φ = 6306796339200.

The previous prime is 10342105051991. The next prime is 10342105052033. The reversal of 10342105052031 is 13025050124301.

10342105052031 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 105 + 0 + 520 + 31 = 666.

It is not a de Polignac number, because 10342105052031 - 2¹⁰ = 10342105051007 is a prime.

It is a super-2 number, since 2×10342105052031² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10342105051986 and 10342105052004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342105052033) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13448770815 + ... + 13448771583.

It is an arithmetic number, because the mean of its divisors is an integer number (87108194250).

Almost surely, 2^{10342105052031} is an apocalyptic number.

10342105052031 is a deficient number, since it is larger than the sum of its proper divisors (6382668243969).

10342105052031 is a wasteful number, since it uses less digits than its factorization.

10342105052031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10342105052031 its reverse (13025050124301), we get a palindrome (23367155176332).

The spelling of 10342105052031 in words is "ten trillion, three hundred forty-two billion, one hundred five million, fifty-two thousand, thirty-one".