10301213000 has 128 divisors (see below), whose sum is σ = 26274568320. Its totient is φ = 3757305600.

The previous prime is 10301212991. The next prime is 10301213009. The reversal of 10301213000 is 31210301.

It is an interprime number because it is at equal distance from previous prime (10301212991) and next prime (10301213009).

It is a super-2 number, since 2×10301213000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10301213009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1074227 + ... + 1083773.

It is an arithmetic number, because the mean of its divisors is an integer number (205270065).

Almost surely, 2^10301213000 is an apocalyptic number.

10301213000 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 10301213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137284160).

10301213000 is an abundant number, since it is smaller than the sum of its proper divisors (15973355320).

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

10301213000 is a wasteful number, since it uses less digits than its factorization.

10301213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9664 (or 9650 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10301213000 its reverse (31210301), we get a palindrome (10332423301).

The spelling of 10301213000 in words is "ten billion, three hundred one million, two hundred thirteen thousand".