61000105036131 has 48 divisors (see below), whose sum is σ = 91403301562560. Its totient is φ = 39169725154560.

The previous prime is 61000105036127. The next prime is 61000105036313. The reversal of 61000105036131 is 13163050100016.

61000105036131 is a `hidden beast` number, since 6 + 10 + 0 + 0 + 10 + 503 + 6 + 131 = 666.

It is not a de Polignac number, because 61000105036131 - 2² = 61000105036127 is a prime.

It is a super-2 number, since 2×61000105036131² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61000105036095 and 61000105036104.

It is not an unprimeable number, because it can be changed into a prime (61000105056131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97818625 + ... + 98440253.

It is an arithmetic number, because the mean of its divisors is an integer number (1904235449220).

Almost surely, 2^{61000105036131} is an apocalyptic number.

61000105036131 is a deficient number, since it is larger than the sum of its proper divisors (30403196526429).

61000105036131 is a wasteful number, since it uses less digits than its factorization.

61000105036131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624636 (or 624633 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 61000105036131 its reverse (13163050100016), we get a palindrome (74163155136147).

The spelling of 61000105036131 in words is "sixty-one trillion, one hundred five million, thirty-six thousand, one hundred thirty-one".