10312652145000 has 320 divisors, whose sum is σ = 32387587404480. Its totient is φ = 2735493376000.

The previous prime is 10312652144981. The next prime is 10312652145001. The reversal of 10312652145000 is 54125621301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10312652145001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2711713099 + ... + 2711716901.

It is an arithmetic number, because the mean of its divisors is an integer number (101211210639).

Almost surely, 2^{10312652145000} is an apocalyptic number.

10312652145000 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 10312652145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193793702240).

10312652145000 is an abundant number, since it is smaller than the sum of its proper divisors (22074935259480).

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

10312652145000 is a wasteful number, since it uses less digits than its factorization.

10312652145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 10312652145000 its reverse (54125621301), we get a palindrome (10366777766301).

The spelling of 10312652145000 in words is "ten trillion, three hundred twelve billion, six hundred fifty-two million, one hundred forty-five thousand".