11020102133313 has 96 divisors (see below), whose sum is σ = 18769631392512. Its totient is φ = 5699255385600.

The previous prime is 11020102133279. The next prime is 11020102133317. The reversal of 11020102133313 is 31333120102011.

It is a happy number.

It is not a de Polignac number, because 11020102133313 - 2¹⁸ = 11020101871169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11020102133313.

It is not an unprimeable number, because it can be changed into a prime (11020102133317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24333895 + ... + 24782627.

It is an arithmetic number, because the mean of its divisors is an integer number (195516993672).

Almost surely, 2^{11020102133313} is an apocalyptic number.

11020102133313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11020102133313 is a deficient number, since it is larger than the sum of its proper divisors (7749529259199).

11020102133313 is a wasteful number, since it uses less digits than its factorization.

11020102133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449015 (or 449008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11020102133313 its reverse (31333120102011), we get a palindrome (42353222235324).

It can be divided in two parts, 1102010 and 2133313, that added together give a palindrome (3235323).

The spelling of 11020102133313 in words is "eleven trillion, twenty billion, one hundred two million, one hundred thirty-three thousand, three hundred thirteen".