1102313033201 has 32 divisors (see below), whose sum is σ = 1146909510432. Its totient is φ = 1058837944320.

The previous prime is 1102313033197. The next prime is 1102313033219. The reversal of 1102313033201 is 1023303132011.

It can be written as a sum of positive squares in 16 ways, for example, as 10988070976 + 1091324962225 = 104824^2 + 1044665^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102313033201 - 2² = 1102313033197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102313033281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683392271 + ... + 683393883.

It is an arithmetic number, because the mean of its divisors is an integer number (35840922201).

Almost surely, 2^{1102313033201} is an apocalyptic number.

It is an amenable number.

1102313033201 is a deficient number, since it is larger than the sum of its proper divisors (44596477231).

1102313033201 is a wasteful number, since it uses less digits than its factorization.

1102313033201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1102313033201 its reverse (1023303132011), we get a palindrome (2125616165212).

The spelling of 1102313033201 in words is "one trillion, one hundred two billion, three hundred thirteen million, thirty-three thousand, two hundred one".