10114131000 has 256 divisors, whose sum is σ = 32267289600. Its totient is φ = 2637120000.

The previous prime is 10114130981. The next prime is 10114131059. The reversal of 10114131000 is 13141101.

It is a super-2 number, since 2×10114131000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 37598866 + ... + 37599134.

It is an arithmetic number, because the mean of its divisors is an integer number (126044100).

Almost surely, 2^10114131000 is an apocalyptic number.

10114131000 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 10114131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133644800).

10114131000 is an abundant number, since it is smaller than the sum of its proper divisors (22153158600).

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

10114131000 is a wasteful number, since it uses less digits than its factorization.

10114131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10114131000 its reverse (13141101), we get a palindrome (10127272101).

The spelling of 10114131000 in words is "ten billion, one hundred fourteen million, one hundred thirty-one thousand".