134004310331100 has 864 divisors, whose sum is σ = 447203206496256. Its totient is φ = 30918888000000.

The previous prime is 134004310331057. The next prime is 134004310331107. The reversal of 134004310331100 is 1133013400431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134004310331107) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68684935125 + ... + 68684937075.

Almost surely, 2^{134004310331100} is an apocalyptic number.

134004310331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134004310331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223601603248128).

134004310331100 is an abundant number, since it is smaller than the sum of its proper divisors (313198896165156).

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

134004310331100 is a wasteful number, since it uses less digits than its factorization.

134004310331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2981 counting only the distinct ones).

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

Adding to 134004310331100 its reverse (1133013400431), we get a palindrome (135137323731531).

The spelling of 134004310331100 in words is "one hundred thirty-four trillion, four billion, three hundred ten million, three hundred thirty-one thousand, one hundred".