10137312000 has 360 divisors, whose sum is σ = 37733728032. Its totient is φ = 2702592000.

The previous prime is 10137311993. The next prime is 10137312001. The reversal of 10137312000 is 21373101.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10137312001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2590045 + ... + 2593955.

Almost surely, 2^10137312000 is an apocalyptic number.

10137312000 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 10137312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18866864016).

10137312000 is an abundant number, since it is smaller than the sum of its proper divisors (27596416032).

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

10137312000 is an frugal number, since it uses more digits than its factorization.

10137312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 10137312000 its reverse (21373101), we get a palindrome (10158685101).

The spelling of 10137312000 in words is "ten billion, one hundred thirty-seven million, three hundred twelve thousand".