11430201031000 has 256 divisors, whose sum is σ = 27776286720000. Its totient is φ = 4399274880000.

The previous prime is 11430201030977. The next prime is 11430201031097. The reversal of 11430201031000 is 13010203411.

It is a super-2 number, since 2×11430201031000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4764567801 + ... + 4764570199.

It is an arithmetic number, because the mean of its divisors is an integer number (108501120000).

Almost surely, 2^{11430201031000} is an apocalyptic number.

11430201031000 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 11430201031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13888143360000).

11430201031000 is an abundant number, since it is smaller than the sum of its proper divisors (16346085689000).

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

11430201031000 is a wasteful number, since it uses less digits than its factorization.

11430201031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11430201031000 its reverse (13010203411), we get a palindrome (11443211234411).

The spelling of 11430201031000 in words is "eleven trillion, four hundred thirty billion, two hundred one million, thirty-one thousand".