1023002032113 has 12 divisors (see below), whose sum is σ = 1477694998260. Its totient is φ = 681989633376.

The previous prime is 1023002032111. The next prime is 1023002032153. The reversal of 1023002032113 is 3112302003201.

1023002032113 is a `hidden beast` number, since 10 + 2 + 300 + 20 + 321 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 768196155024 + 254805877089 = 876468^2 + 504783^2 .

It is not a de Polignac number, because 1023002032113 - 2¹ = 1023002032111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1023002032111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406506 + ... + 1487027.

It is an arithmetic number, because the mean of its divisors is an integer number (123141249855).

Almost surely, 2^{1023002032113} is an apocalyptic number.

It is an amenable number.

1023002032113 is a deficient number, since it is larger than the sum of its proper divisors (454692966147).

1023002032113 is a wasteful number, since it uses less digits than its factorization.

1023002032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953568 (or 1953565 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1023002032113 its reverse (3112302003201), we get a palindrome (4135304035314).

The spelling of 1023002032113 in words is "one trillion, twenty-three billion, two million, thirty-two thousand, one hundred thirteen".