10113142000 has 320 divisors, whose sum is σ = 27639480960. Its totient is φ = 3554304000.

The previous prime is 10113141977. The next prime is 10113142003. The reversal of 10113142000 is 24131101.

It is a super-2 number, since 2×10113142000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113142003) 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, 56497911 + ... + 56498089.

It is an arithmetic number, because the mean of its divisors is an integer number (86373378).

Almost surely, 2^10113142000 is an apocalyptic number.

10113142000 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 10113142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819740480).

10113142000 is an abundant number, since it is smaller than the sum of its proper divisors (17526338960).

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

10113142000 is a wasteful number, since it uses less digits than its factorization.

10113142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10113142000 its reverse (24131101), we get a palindrome (10137273101).

The spelling of 10113142000 in words is "ten billion, one hundred thirteen million, one hundred forty-two thousand".