20101314113400 has 192 divisors, whose sum is σ = 67590255196800. Its totient is φ = 4912418280960.

The previous prime is 20101314113393. The next prime is 20101314113401. The reversal of 20101314113400 is 431141310102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101314113401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8185914 + ... + 10354313.

It is an arithmetic number, because the mean of its divisors is an integer number (352032579150).

Almost surely, 2^{20101314113400} is an apocalyptic number.

20101314113400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101314113400 is an abundant number, since it is smaller than the sum of its proper divisors (47488941083400).

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

20101314113400 is a wasteful number, since it uses less digits than its factorization.

20101314113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18540398 (or 18540389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 20101314113400 its reverse (431141310102), we get a palindrome (20532455423502).

The spelling of 20101314113400 in words is "twenty trillion, one hundred one billion, three hundred fourteen million, one hundred thirteen thousand, four hundred".