1205016065131 has 8 divisors (see below), whose sum is σ = 1205611341824. Its totient is φ = 1204420936680.

The previous prime is 1205016065117. The next prime is 1205016065137. The reversal of 1205016065131 is 1315606105021.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1205016065131 - 2⁷ = 1205016065003 is a prime.

It is a super-2 number, since 2×1205016065131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1205016065093 and 1205016065102.

It is not an unprimeable number, because it can be changed into a prime (1205016065137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18424570 + ... + 18489856.

It is an arithmetic number, because the mean of its divisors is an integer number (150701417728).

Almost surely, 2^{1205016065131} is an apocalyptic number.

1205016065131 is a deficient number, since it is larger than the sum of its proper divisors (595276693).

1205016065131 is an equidigital number, since it uses as much as digits as its factorization.

1205016065131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74121.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 1205016065131 in words is "one trillion, two hundred five billion, sixteen million, sixty-five thousand, one hundred thirty-one".