1130122011213 has 96 divisors (see below), whose sum is σ = 1812771848160. Its totient is φ = 674018426880.

The previous prime is 1130122011199. The next prime is 1130122011223. The reversal of 1130122011213 is 3121102210311.

It can be written as a sum of positive squares in 16 ways, for example, as 988755787044 + 141366224169 = 994362^2 + 375987^2 .

It is not a de Polignac number, because 1130122011213 - 2⁴ = 1130122011197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130122011223) 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, 635970981 + ... + 635972757.

It is an arithmetic number, because the mean of its divisors is an integer number (18883040085).

Almost surely, 2^{1130122011213} is an apocalyptic number.

1130122011213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1130122011213 is a deficient number, since it is larger than the sum of its proper divisors (682649836947).

1130122011213 is a wasteful number, since it uses less digits than its factorization.

1130122011213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1130122011213 its reverse (3121102210311), we get a palindrome (4251224221524).

The spelling of 1130122011213 in words is "one trillion, one hundred thirty billion, one hundred twenty-two million, eleven thousand, two hundred thirteen".