101340003031410 has 384 divisors, whose sum is σ = 295715715660288. Its totient is φ = 22064902041600.

The previous prime is 101340003031363. The next prime is 101340003031427. The reversal of 101340003031410 is 14130300043101.

101340003031410 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 721606459 + ... + 721746881.

It is an arithmetic number, because the mean of its divisors is an integer number (770093009532).

Almost surely, 2^{101340003031410} is an apocalyptic number.

101340003031410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101340003031410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147857857830144).

101340003031410 is an abundant number, since it is smaller than the sum of its proper divisors (194375712628878).

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

101340003031410 is a wasteful number, since it uses less digits than its factorization.

101340003031410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140882 (or 140871 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101340003031410 its reverse (14130300043101), we get a palindrome (115470303074511).

The spelling of 101340003031410 in words is "one hundred one trillion, three hundred forty billion, three million, thirty-one thousand, four hundred ten".