34354101101130 has 48 divisors (see below), whose sum is σ = 94021750386720. Its totient is φ = 8678930804064.

The previous prime is 34354101101123. The next prime is 34354101101167. The reversal of 34354101101130 is 3110110145343.

34354101101130 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 410 + 110 + 1 + 130 = 666.

It is a super-2 number, since 2×34354101101130² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34354101101094 and 34354101101103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10045057092 + ... + 10045060511.

It is an arithmetic number, because the mean of its divisors is an integer number (1958786466390).

Almost surely, 2^{34354101101130} is an apocalyptic number.

34354101101130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34354101101130 is an abundant number, since it is smaller than the sum of its proper divisors (59667649285590).

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

34354101101130 is a wasteful number, since it uses less digits than its factorization.

34354101101130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20090117635 (or 20090117632 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 34354101101130 its reverse (3110110145343), we get a palindrome (37464211246473).

The spelling of 34354101101130 in words is "thirty-four trillion, three hundred fifty-four billion, one hundred one million, one hundred one thousand, one hundred thirty".