1130414140311 has 32 divisors (see below), whose sum is σ = 1603426030080. Its totient is φ = 706360176000.

The previous prime is 1130414140283. The next prime is 1130414140321.

1130414140311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1130414140311 - 2⁵ = 1130414140279 is a prime.

It is a super-5 number, since 5×1130414140311⁵ (a number of 61 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3, 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130414140321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7879326 + ... + 8021508.

It is an arithmetic number, because the mean of its divisors is an integer number (50107063440).

Almost surely, 2^{1130414140311} is an apocalyptic number.

1130414140311 is a deficient number, since it is larger than the sum of its proper divisors (473011889769).

1130414140311 is a wasteful number, since it uses less digits than its factorization.

1130414140311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143687.

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

The spelling of 1130414140311 in words is "one trillion, one hundred thirty billion, four hundred fourteen million, one hundred forty thousand, three hundred eleven".