1130413102224 has 160 divisors (see below), whose sum is σ = 3371111377920. Its totient is φ = 319718278656.

The previous prime is 1130413102207. The next prime is 1130413102253. The reversal of 1130413102224 is 4222013140311.

It is a super-3 number, since 3×1130413102224³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1130413102194 and 1130413102203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51364407 + ... + 51386409.

It is an arithmetic number, because the mean of its divisors is an integer number (21069446112).

Almost surely, 2^{1130413102224} is an apocalyptic number.

1130413102224 is a gapful number since it is divisible by the number (14) 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 1130413102224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685555688960).

1130413102224 is an abundant number, since it is smaller than the sum of its proper divisors (2240698275696).

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

1130413102224 is a wasteful number, since it uses less digits than its factorization.

1130413102224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23557 (or 23551 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1130413102224 its reverse (4222013140311), we get a palindrome (5352426242535).

The spelling of 1130413102224 in words is "one trillion, one hundred thirty billion, four hundred thirteen million, one hundred two thousand, two hundred twenty-four".