1171136813000 has 256 divisors, whose sum is σ = 3481155325440. Its totient is φ = 358141056000.

The previous prime is 1171136812997. The next prime is 1171136813003. The reversal of 1171136813000 is 3186311711.

It is an interprime number because it is at equal distance from previous prime (1171136812997) and next prime (1171136813003).

It is a super-2 number, since 2×1171136813000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1171136813003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3937514 + ... + 4224486.

It is an arithmetic number, because the mean of its divisors is an integer number (13598262990).

Almost surely, 2^{1171136813000} is an apocalyptic number.

1171136813000 is a gapful number since it is divisible by the number (10) 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 1171136813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740577662720).

1171136813000 is an abundant number, since it is smaller than the sum of its proper divisors (2310018512440).

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

1171136813000 is a wasteful number, since it uses less digits than its factorization.

1171136813000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287065 (or 287051 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The spelling of 1171136813000 in words is "one trillion, one hundred seventy-one billion, one hundred thirty-six million, eight hundred thirteen thousand".