11002313213100 has 216 divisors, whose sum is σ = 37818219479040. Its totient is φ = 2653262448000.

The previous prime is 11002313213083. The next prime is 11002313213107. The reversal of 11002313213100 is 131231320011.

11002313213100 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 2 + 31 + 321 + 310 + 0 = 666.

It is a super-2 number, since 2×11002313213100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11002313213107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1018380 + ... + 4800179.

It is an arithmetic number, because the mean of its divisors is an integer number (175084349440).

Almost surely, 2^{11002313213100} is an apocalyptic number.

11002313213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002313213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909109739520).

11002313213100 is an abundant number, since it is smaller than the sum of its proper divisors (26815906265940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11002313213100 is a wasteful number, since it uses less digits than its factorization.

11002313213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5818781 (or 5818771 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11002313213100 its reverse (131231320011), we get a palindrome (11133544533111).

The spelling of 11002313213100 in words is "eleven trillion, two billion, three hundred thirteen million, two hundred thirteen thousand, one hundred".