20130201312 has 192 divisors, whose sum is σ = 59825848320. Its totient is φ = 5880213504.

The previous prime is 20130201281. The next prime is 20130201319. The reversal of 20130201312 is 21310203102.

It is a junction number, because it is equal to n+sod(n) for n = 20130201291 and 20130201300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130201319) 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, 3929889 + ... + 3935007.

It is an arithmetic number, because the mean of its divisors is an integer number (311592960).

Almost surely, 2^20130201312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29912924160).

20130201312 is an abundant number, since it is smaller than the sum of its proper divisors (39695647008).

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

20130201312 is a wasteful number, since it uses less digits than its factorization.

20130201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20130201312 its reverse (21310203102), we get a palindrome (41440404414).

The spelling of 20130201312 in words is "twenty billion, one hundred thirty million, two hundred one thousand, three hundred twelve".