31420101310400 has 336 divisors, whose sum is σ = 86441271904512. Its totient is φ = 11141323776000.

The previous prime is 31420101310357. The next prime is 31420101310457. The reversal of 31420101310400 is 401310102413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1635857597 + ... + 1635876803.

It is an arithmetic number, because the mean of its divisors is an integer number (257265690192).

Almost surely, 2^{31420101310400} 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 31420101310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43220635952256).

31420101310400 is an abundant number, since it is smaller than the sum of its proper divisors (55021170594112).

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

31420101310400 is a wasteful number, since it uses less digits than its factorization.

31420101310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21548 (or 21533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31420101310400 its reverse (401310102413), we get a palindrome (31821411412813).

The spelling of 31420101310400 in words is "thirty-one trillion, four hundred twenty billion, one hundred one million, three hundred ten thousand, four hundred".