1144411313100 has 72 divisors (see below), whose sum is σ = 3612178264128. Its totient is φ = 277433044800.

The previous prime is 1144411313057. The next prime is 1144411313107. The reversal of 1144411313100 is 13131144411.

It is a super-2 number, since 2×1144411313100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1144411313107) 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, 173392354 + ... + 173398953.

Almost surely, 2^{1144411313100} is an apocalyptic number.

1144411313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144411313100 is an abundant number, since it is smaller than the sum of its proper divisors (2467766951028).

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

1144411313100 is a wasteful number, since it uses less digits than its factorization.

1144411313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346791335 (or 346791328 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1144411313100 its reverse (13131144411), we get a palindrome (1157542457511).

The spelling of 1144411313100 in words is "one trillion, one hundred forty-four billion, four hundred eleven million, three hundred thirteen thousand, one hundred".