1320000020031 has 48 divisors (see below), whose sum is σ = 2234391084288. Its totient is φ = 685431331200.

The previous prime is 1320000020021. The next prime is 1320000020071. The reversal of 1320000020031 is 1300200000231.

It is a happy number.

It is not a de Polignac number, because 1320000020031 - 2¹⁵ = 1319999987263 is a prime.

It is a super-2 number, since 2×1320000020031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1320000019989 and 1320000020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320000020021) 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, 3779886 + ... + 4114308.

It is an arithmetic number, because the mean of its divisors is an integer number (46549814256).

Almost surely, 2^{1320000020031} is an apocalyptic number.

1320000020031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1320000020031 is a deficient number, since it is larger than the sum of its proper divisors (914391064257).

1320000020031 is a wasteful number, since it uses less digits than its factorization.

1320000020031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336892 (or 336885 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1320000020031 its reverse (1300200000231), we get a palindrome (2620200020262).

It can be divided in two parts, 13200000200 and 31, that added together give a palindrome (13200000231).

The spelling of 1320000020031 in words is "one trillion, three hundred twenty billion, twenty thousand, thirty-one".