1020320400113 has 16 divisors (see below), whose sum is σ = 1172904834816. Its totient is φ = 869442786240.

The previous prime is 1020320400103. The next prime is 1020320400133. The reversal of 1020320400113 is 3110040230201.

It is a de Polignac number, because none of the positive numbers 2^k-1020320400113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020320400091 and 1020320400100.

It is not an unprimeable number, because it can be changed into a prime (1020320400103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26514995 + ... + 26553447.

It is an arithmetic number, because the mean of its divisors is an integer number (73306552176).

Almost surely, 2^{1020320400113} is an apocalyptic number.

It is an amenable number.

1020320400113 is a deficient number, since it is larger than the sum of its proper divisors (152584434703).

1020320400113 is a wasteful number, since it uses less digits than its factorization.

1020320400113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60544.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1020320400113 its reverse (3110040230201), we get a palindrome (4130360630314).

The spelling of 1020320400113 in words is "one trillion, twenty billion, three hundred twenty million, four hundred thousand, one hundred thirteen".