11214131000 has 64 divisors (see below), whose sum is σ = 26501117760. Its totient is φ = 4441200000.

The previous prime is 11214130987. The next prime is 11214131011. The reversal of 11214131000 is 13141211.

It is a super-2 number, since 2×11214131000² (a number of 21 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 15 ways as a sum of consecutive naturals, for example, 45485 + ... + 156515.

It is an arithmetic number, because the mean of its divisors is an integer number (414079965).

Almost surely, 2^11214131000 is an apocalyptic number.

11214131000 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 11214131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250558880).

11214131000 is an abundant number, since it is smaller than the sum of its proper divisors (15286986760).

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

11214131000 is a wasteful number, since it uses less digits than its factorization.

11214131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111153 (or 111139 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11214131000 its reverse (13141211), we get a palindrome (11227272211).

The spelling of 11214131000 in words is "eleven billion, two hundred fourteen million, one hundred thirty-one thousand".