34131213201030 has 256 divisors, whose sum is σ = 96962194492416. Its totient is φ = 7595137105920.

The previous prime is 34131213200963. The next prime is 34131213201053. The reversal of 34131213201030 is 3010231213143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163208214 + ... + 163417206.

It is an arithmetic number, because the mean of its divisors is an integer number (378758572236).

Almost surely, 2^{34131213201030} is an apocalyptic number.

34131213201030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34131213201030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48481097246208).

34131213201030 is an abundant number, since it is smaller than the sum of its proper divisors (62830981291386).

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

34131213201030 is a wasteful number, since it uses less digits than its factorization.

34131213201030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209751.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 34131213201030 its reverse (3010231213143), we get a palindrome (37141444414173).

The spelling of 34131213201030 in words is "thirty-four trillion, one hundred thirty-one billion, two hundred thirteen million, two hundred one thousand, thirty".