11301220013100 has 72 divisors (see below), whose sum is σ = 32833873945488. Its totient is φ = 3001153843200.

The previous prime is 11301220013029. The next prime is 11301220013107. The reversal of 11301220013100 is 131002210311.

It is a happy number.

It is a super-2 number, since 2×11301220013100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11301220013100.

It is not an unprimeable number, because it can be changed into a prime (11301220013107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78082749 + ... + 78227348.

Almost surely, 2^{11301220013100} is an apocalyptic number.

11301220013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11301220013100 is an abundant number, since it is smaller than the sum of its proper divisors (21532653932388).

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

11301220013100 is a wasteful number, since it uses less digits than its factorization.

11301220013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156310355 (or 156310348 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11301220013100 its reverse (131002210311), we get a palindrome (11432222223411).

The spelling of 11301220013100 in words is "eleven trillion, three hundred one billion, two hundred twenty million, thirteen thousand, one hundred".