31120006366053 has 48 divisors (see below), whose sum is σ = 49602020569920. Its totient is φ = 18643634592000.

The previous prime is 31120006366019. The next prime is 31120006366123. The reversal of 31120006366053 is 35066360002113.

31120006366053 is a `hidden beast` number, since 3 + 1 + 12 + 0 + 0 + 0 + 6 + 36 + 605 + 3 = 666.

It is not a de Polignac number, because 31120006366053 - 2³⁰ = 31118932624229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31120006365999 and 31120006366017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120006366013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32132350 + ... + 33086672.

It is an arithmetic number, because the mean of its divisors is an integer number (1033375428540).

Almost surely, 2^{31120006366053} is an apocalyptic number.

31120006366053 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31120006366053 is a deficient number, since it is larger than the sum of its proper divisors (18482014203867).

31120006366053 is a wasteful number, since it uses less digits than its factorization.

31120006366053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958130 (or 958127 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 31120006366053 its reverse (35066360002113), we get a palindrome (66186366368166).

The spelling of 31120006366053 in words is "thirty-one trillion, one hundred twenty billion, six million, three hundred sixty-six thousand, fifty-three".