1006361120331 has 48 divisors (see below), whose sum is σ = 1682312905728. Its totient is φ = 567833544000.

The previous prime is 1006361120327. The next prime is 1006361120353. The reversal of 1006361120331 is 1330211636001.

1006361120331 is a `hidden beast` number, since 1 + 0 + 0 + 636 + 1 + 1 + 20 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 1006361120331 - 2² = 1006361120327 is a prime.

It is a super-2 number, since 2×1006361120331² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006361120295 and 1006361120304.

It is not an unprimeable number, because it can be changed into a prime (1006361120321) 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, 1271941 + ... + 1905401.

It is an arithmetic number, because the mean of its divisors is an integer number (35048185536).

Almost surely, 2^{1006361120331} is an apocalyptic number.

1006361120331 is a deficient number, since it is larger than the sum of its proper divisors (675951785397).

1006361120331 is a wasteful number, since it uses less digits than its factorization.

1006361120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633792 (or 633789 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 1006361120331 its reverse (1330211636001), we get a palindrome (2336572756332).

The spelling of 1006361120331 in words is "one trillion, six billion, three hundred sixty-one million, one hundred twenty thousand, three hundred thirty-one".