10023132031000 has 256 divisors, whose sum is σ = 26166965760000. Its totient is φ = 3562977600000.

The previous prime is 10023132030973. The next prime is 10023132031007. The reversal of 10023132031000 is 13023132001.

It is a super-2 number, since 2×10023132031000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023132031007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87711901 + ... + 87826099.

It is an arithmetic number, because the mean of its divisors is an integer number (102214710000).

Almost surely, 2^{10023132031000} is an apocalyptic number.

10023132031000 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 10023132031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083482880000).

10023132031000 is an abundant number, since it is smaller than the sum of its proper divisors (16143833729000).

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

10023132031000 is a wasteful number, since it uses less digits than its factorization.

10023132031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114411 (or 114397 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10023132031000 its reverse (13023132001), we get a palindrome (10036155163001).

The spelling of 10023132031000 in words is "ten trillion, twenty-three billion, one hundred thirty-two million, thirty-one thousand".