10031130213000 has 256 divisors, whose sum is σ = 33849283104000. Its totient is φ = 2458601625600.

The previous prime is 10031130212993. The next prime is 10031130213007. The reversal of 10031130213000 is 31203113001.

It is an interprime number because it is at equal distance from previous prime (10031130212993) and next prime (10031130213007).

It is a super-2 number, since 2×10031130213000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10031130213007) 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, 8535051 + ... + 9638949.

It is an arithmetic number, because the mean of its divisors is an integer number (132223762125).

Almost surely, 2^{10031130213000} is an apocalyptic number.

10031130213000 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 10031130213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924641552000).

10031130213000 is an abundant number, since it is smaller than the sum of its proper divisors (23818152891000).

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

10031130213000 is a wasteful number, since it uses less digits than its factorization.

10031130213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104169 (or 1104155 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10031130213000 its reverse (31203113001), we get a palindrome (10062333326001).

The spelling of 10031130213000 in words is "ten trillion, thirty-one billion, one hundred thirty million, two hundred thirteen thousand".