10223120131002 has 192 divisors, whose sum is σ = 25114193814528. Its totient is φ = 3102810624000.

The previous prime is 10223120130989. The next prime is 10223120131031. The reversal of 10223120131002 is 20013102132201.

10223120131002 is a `hidden beast` number, since 10 + 223 + 120 + 1 + 310 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1567719502 + ... + 1567726022.

It is an arithmetic number, because the mean of its divisors is an integer number (130803092784).

Almost surely, 2^{10223120131002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223120131002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12557096907264).

10223120131002 is an abundant number, since it is smaller than the sum of its proper divisors (14891073683526).

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

10223120131002 is a wasteful number, since it uses less digits than its factorization.

10223120131002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12707 (or 12695 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10223120131002 its reverse (20013102132201), we get a palindrome (30236222263203).

The spelling of 10223120131002 in words is "ten trillion, two hundred twenty-three billion, one hundred twenty million, one hundred thirty-one thousand, two".